{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Normalization and Standardization\n",
    "\n",
    "[Normalization](https://en.wikipedia.org/wiki/Normalization_(statistics)) makes data more meaningful by converting absolute values into comparisons with related values.  [Chris Vallier](https://github.com/jcvall) has produced this demonstration of normalization using PyJanitor.\n",
    "\n",
    "pyjanitor functions demonstrated here:\n",
    "\n",
    "- [min_max_scale](../reference/functions.html#janitor.functions.min_max_scale)\n",
    "\n",
    "- [transform_column](../reference/functions.html#janitor.functions.transform_column)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set(style=\"whitegrid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load data\n",
    "\n",
    "We'll use a dataset with fuel efficiency in miles per gallon (\"mpg\"), engine displacement in cubic centimeters (\"disp\"), and horsepower (\"hp\") for a variety of car models.  It's a crazy, but customary, mix of units."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "csv_file = \"https://gist.githubusercontent.com/seankross/a412dfbd88b3db70b74b/raw/5f23f993cd87c283ce766e7ac6b329ee7cc2e1d1/mtcars.csv\"\n",
    "cars_df = pd.read_csv(csv_file)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quantities without units are dangerous, so let's use pyjanitor's `rename_column`..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "cars_df = cars_df.rename_column(\"disp\", \"disp_cc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examine raw data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>model</th>\n",
       "      <th>mpg</th>\n",
       "      <th>cyl</th>\n",
       "      <th>disp_cc</th>\n",
       "      <th>hp</th>\n",
       "      <th>drat</th>\n",
       "      <th>wt</th>\n",
       "      <th>qsec</th>\n",
       "      <th>vs</th>\n",
       "      <th>am</th>\n",
       "      <th>gear</th>\n",
       "      <th>carb</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Mazda RX4</td>\n",
       "      <td>21.0</td>\n",
       "      <td>6</td>\n",
       "      <td>160.0</td>\n",
       "      <td>110</td>\n",
       "      <td>3.90</td>\n",
       "      <td>2.620</td>\n",
       "      <td>16.46</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Mazda RX4 Wag</td>\n",
       "      <td>21.0</td>\n",
       "      <td>6</td>\n",
       "      <td>160.0</td>\n",
       "      <td>110</td>\n",
       "      <td>3.90</td>\n",
       "      <td>2.875</td>\n",
       "      <td>17.02</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Datsun 710</td>\n",
       "      <td>22.8</td>\n",
       "      <td>4</td>\n",
       "      <td>108.0</td>\n",
       "      <td>93</td>\n",
       "      <td>3.85</td>\n",
       "      <td>2.320</td>\n",
       "      <td>18.61</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Hornet 4 Drive</td>\n",
       "      <td>21.4</td>\n",
       "      <td>6</td>\n",
       "      <td>258.0</td>\n",
       "      <td>110</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.215</td>\n",
       "      <td>19.44</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hornet Sportabout</td>\n",
       "      <td>18.7</td>\n",
       "      <td>8</td>\n",
       "      <td>360.0</td>\n",
       "      <td>175</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.440</td>\n",
       "      <td>17.02</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               model   mpg  cyl  disp_cc   hp  drat     wt   qsec  vs  am  \\\n",
       "0          Mazda RX4  21.0    6    160.0  110  3.90  2.620  16.46   0   1   \n",
       "1      Mazda RX4 Wag  21.0    6    160.0  110  3.90  2.875  17.02   0   1   \n",
       "2         Datsun 710  22.8    4    108.0   93  3.85  2.320  18.61   1   1   \n",
       "3     Hornet 4 Drive  21.4    6    258.0  110  3.08  3.215  19.44   1   0   \n",
       "4  Hornet Sportabout  18.7    8    360.0  175  3.15  3.440  17.02   0   0   \n",
       "\n",
       "   gear  carb  \n",
       "0     4     4  \n",
       "1     4     4  \n",
       "2     4     1  \n",
       "3     3     1  \n",
       "4     3     2  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cars_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualize\n",
    "\n",
    "Each value makes more sense viewed in comparison to the other models.  We'll use simple [Seaborn](https://seaborn.pydata.org/) bar plots."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### mpg by model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa29b344810>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"mpg\", ascending=False)\n",
    "sns.barplot(\n",
    "    y=\"model\",\n",
    "    x=\"mpg\",\n",
    "    data=cars_df,\n",
    "    color=\"b\",\n",
    "    orient=\"h\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### displacement by model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa29afaf650>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"disp_cc\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"disp_cc\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### horsepower by model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa29a860710>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"hp\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"hp\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## [min-max normalization](https://en.wikipedia.org/wiki/Feature_scaling#Rescaling_\\(min-max_normalization\\))  \n",
    "\n",
    "First we'll use pyjanitor's [min_max_scale](../reference/functions.html#janitor.functions.min_max_scale) to rescale the `mpg`, `disp_cc`, and `hp` columns in-place so that each value varies from 0 to 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>model</th>\n",
       "      <th>mpg</th>\n",
       "      <th>cyl</th>\n",
       "      <th>disp_cc</th>\n",
       "      <th>hp</th>\n",
       "      <th>drat</th>\n",
       "      <th>wt</th>\n",
       "      <th>qsec</th>\n",
       "      <th>vs</th>\n",
       "      <th>am</th>\n",
       "      <th>gear</th>\n",
       "      <th>carb</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Maserati Bora</td>\n",
       "      <td>0.195745</td>\n",
       "      <td>8</td>\n",
       "      <td>0.573460</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.54</td>\n",
       "      <td>3.570</td>\n",
       "      <td>14.60</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Ford Pantera L</td>\n",
       "      <td>0.229787</td>\n",
       "      <td>8</td>\n",
       "      <td>0.698179</td>\n",
       "      <td>0.749117</td>\n",
       "      <td>4.22</td>\n",
       "      <td>3.170</td>\n",
       "      <td>14.50</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Duster 360</td>\n",
       "      <td>0.165957</td>\n",
       "      <td>8</td>\n",
       "      <td>0.720629</td>\n",
       "      <td>0.681979</td>\n",
       "      <td>3.21</td>\n",
       "      <td>3.570</td>\n",
       "      <td>15.84</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Camaro Z28</td>\n",
       "      <td>0.123404</td>\n",
       "      <td>8</td>\n",
       "      <td>0.695685</td>\n",
       "      <td>0.681979</td>\n",
       "      <td>3.73</td>\n",
       "      <td>3.840</td>\n",
       "      <td>15.41</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Chrysler Imperial</td>\n",
       "      <td>0.182979</td>\n",
       "      <td>8</td>\n",
       "      <td>0.920180</td>\n",
       "      <td>0.628975</td>\n",
       "      <td>3.23</td>\n",
       "      <td>5.345</td>\n",
       "      <td>17.42</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Lincoln Continental</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>8</td>\n",
       "      <td>0.970067</td>\n",
       "      <td>0.575972</td>\n",
       "      <td>3.00</td>\n",
       "      <td>5.424</td>\n",
       "      <td>17.82</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Cadillac Fleetwood</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>8</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.540636</td>\n",
       "      <td>2.93</td>\n",
       "      <td>5.250</td>\n",
       "      <td>17.98</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Merc 450SLC</td>\n",
       "      <td>0.204255</td>\n",
       "      <td>8</td>\n",
       "      <td>0.510601</td>\n",
       "      <td>0.452297</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.780</td>\n",
       "      <td>18.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Merc 450SE</td>\n",
       "      <td>0.255319</td>\n",
       "      <td>8</td>\n",
       "      <td>0.510601</td>\n",
       "      <td>0.452297</td>\n",
       "      <td>3.07</td>\n",
       "      <td>4.070</td>\n",
       "      <td>17.40</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Merc 450SL</td>\n",
       "      <td>0.293617</td>\n",
       "      <td>8</td>\n",
       "      <td>0.510601</td>\n",
       "      <td>0.452297</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.730</td>\n",
       "      <td>17.60</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Pontiac Firebird</td>\n",
       "      <td>0.374468</td>\n",
       "      <td>8</td>\n",
       "      <td>0.820404</td>\n",
       "      <td>0.434629</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.845</td>\n",
       "      <td>17.05</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hornet Sportabout</td>\n",
       "      <td>0.353191</td>\n",
       "      <td>8</td>\n",
       "      <td>0.720629</td>\n",
       "      <td>0.434629</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.440</td>\n",
       "      <td>17.02</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Ferrari Dino</td>\n",
       "      <td>0.395745</td>\n",
       "      <td>6</td>\n",
       "      <td>0.184335</td>\n",
       "      <td>0.434629</td>\n",
       "      <td>3.62</td>\n",
       "      <td>2.770</td>\n",
       "      <td>15.50</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Dodge Challenger</td>\n",
       "      <td>0.217021</td>\n",
       "      <td>8</td>\n",
       "      <td>0.615864</td>\n",
       "      <td>0.346290</td>\n",
       "      <td>2.76</td>\n",
       "      <td>3.520</td>\n",
       "      <td>16.87</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>AMC Javelin</td>\n",
       "      <td>0.204255</td>\n",
       "      <td>8</td>\n",
       "      <td>0.580943</td>\n",
       "      <td>0.346290</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.435</td>\n",
       "      <td>17.30</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Merc 280C</td>\n",
       "      <td>0.314894</td>\n",
       "      <td>6</td>\n",
       "      <td>0.240708</td>\n",
       "      <td>0.250883</td>\n",
       "      <td>3.92</td>\n",
       "      <td>3.440</td>\n",
       "      <td>18.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Merc 280</td>\n",
       "      <td>0.374468</td>\n",
       "      <td>6</td>\n",
       "      <td>0.240708</td>\n",
       "      <td>0.250883</td>\n",
       "      <td>3.92</td>\n",
       "      <td>3.440</td>\n",
       "      <td>18.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Lotus Europa</td>\n",
       "      <td>0.851064</td>\n",
       "      <td>4</td>\n",
       "      <td>0.059865</td>\n",
       "      <td>0.215548</td>\n",
       "      <td>3.77</td>\n",
       "      <td>1.513</td>\n",
       "      <td>16.90</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Mazda RX4</td>\n",
       "      <td>0.451064</td>\n",
       "      <td>6</td>\n",
       "      <td>0.221751</td>\n",
       "      <td>0.204947</td>\n",
       "      <td>3.90</td>\n",
       "      <td>2.620</td>\n",
       "      <td>16.46</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Mazda RX4 Wag</td>\n",
       "      <td>0.451064</td>\n",
       "      <td>6</td>\n",
       "      <td>0.221751</td>\n",
       "      <td>0.204947</td>\n",
       "      <td>3.90</td>\n",
       "      <td>2.875</td>\n",
       "      <td>17.02</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Hornet 4 Drive</td>\n",
       "      <td>0.468085</td>\n",
       "      <td>6</td>\n",
       "      <td>0.466201</td>\n",
       "      <td>0.204947</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.215</td>\n",
       "      <td>19.44</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Volvo 142E</td>\n",
       "      <td>0.468085</td>\n",
       "      <td>4</td>\n",
       "      <td>0.124470</td>\n",
       "      <td>0.201413</td>\n",
       "      <td>4.11</td>\n",
       "      <td>2.780</td>\n",
       "      <td>18.60</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Valiant</td>\n",
       "      <td>0.327660</td>\n",
       "      <td>6</td>\n",
       "      <td>0.383886</td>\n",
       "      <td>0.187279</td>\n",
       "      <td>2.76</td>\n",
       "      <td>3.460</td>\n",
       "      <td>20.22</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Toyota Corona</td>\n",
       "      <td>0.472340</td>\n",
       "      <td>4</td>\n",
       "      <td>0.122225</td>\n",
       "      <td>0.159011</td>\n",
       "      <td>3.70</td>\n",
       "      <td>2.465</td>\n",
       "      <td>20.01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Merc 230</td>\n",
       "      <td>0.527660</td>\n",
       "      <td>4</td>\n",
       "      <td>0.173859</td>\n",
       "      <td>0.151943</td>\n",
       "      <td>3.92</td>\n",
       "      <td>3.150</td>\n",
       "      <td>22.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Datsun 710</td>\n",
       "      <td>0.527660</td>\n",
       "      <td>4</td>\n",
       "      <td>0.092043</td>\n",
       "      <td>0.144876</td>\n",
       "      <td>3.85</td>\n",
       "      <td>2.320</td>\n",
       "      <td>18.61</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Porsche 914-2</td>\n",
       "      <td>0.663830</td>\n",
       "      <td>4</td>\n",
       "      <td>0.122724</td>\n",
       "      <td>0.137809</td>\n",
       "      <td>4.43</td>\n",
       "      <td>2.140</td>\n",
       "      <td>16.70</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Fiat X1-9</td>\n",
       "      <td>0.719149</td>\n",
       "      <td>4</td>\n",
       "      <td>0.019706</td>\n",
       "      <td>0.049470</td>\n",
       "      <td>4.08</td>\n",
       "      <td>1.935</td>\n",
       "      <td>18.90</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Fiat 128</td>\n",
       "      <td>0.936170</td>\n",
       "      <td>4</td>\n",
       "      <td>0.018957</td>\n",
       "      <td>0.049470</td>\n",
       "      <td>4.08</td>\n",
       "      <td>2.200</td>\n",
       "      <td>19.47</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Toyota Corolla</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>4</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.045936</td>\n",
       "      <td>4.22</td>\n",
       "      <td>1.835</td>\n",
       "      <td>19.90</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Merc 240D</td>\n",
       "      <td>0.595745</td>\n",
       "      <td>4</td>\n",
       "      <td>0.188576</td>\n",
       "      <td>0.035336</td>\n",
       "      <td>3.69</td>\n",
       "      <td>3.190</td>\n",
       "      <td>20.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Honda Civic</td>\n",
       "      <td>0.851064</td>\n",
       "      <td>4</td>\n",
       "      <td>0.011474</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>4.93</td>\n",
       "      <td>1.615</td>\n",
       "      <td>18.52</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  model       mpg  cyl   disp_cc        hp  drat     wt  \\\n",
       "30        Maserati Bora  0.195745    8  0.573460  1.000000  3.54  3.570   \n",
       "28       Ford Pantera L  0.229787    8  0.698179  0.749117  4.22  3.170   \n",
       "6            Duster 360  0.165957    8  0.720629  0.681979  3.21  3.570   \n",
       "23           Camaro Z28  0.123404    8  0.695685  0.681979  3.73  3.840   \n",
       "16    Chrysler Imperial  0.182979    8  0.920180  0.628975  3.23  5.345   \n",
       "15  Lincoln Continental  0.000000    8  0.970067  0.575972  3.00  5.424   \n",
       "14   Cadillac Fleetwood  0.000000    8  1.000000  0.540636  2.93  5.250   \n",
       "13          Merc 450SLC  0.204255    8  0.510601  0.452297  3.07  3.780   \n",
       "11           Merc 450SE  0.255319    8  0.510601  0.452297  3.07  4.070   \n",
       "12           Merc 450SL  0.293617    8  0.510601  0.452297  3.07  3.730   \n",
       "24     Pontiac Firebird  0.374468    8  0.820404  0.434629  3.08  3.845   \n",
       "4     Hornet Sportabout  0.353191    8  0.720629  0.434629  3.15  3.440   \n",
       "29         Ferrari Dino  0.395745    6  0.184335  0.434629  3.62  2.770   \n",
       "21     Dodge Challenger  0.217021    8  0.615864  0.346290  2.76  3.520   \n",
       "22          AMC Javelin  0.204255    8  0.580943  0.346290  3.15  3.435   \n",
       "10            Merc 280C  0.314894    6  0.240708  0.250883  3.92  3.440   \n",
       "9              Merc 280  0.374468    6  0.240708  0.250883  3.92  3.440   \n",
       "27         Lotus Europa  0.851064    4  0.059865  0.215548  3.77  1.513   \n",
       "0             Mazda RX4  0.451064    6  0.221751  0.204947  3.90  2.620   \n",
       "1         Mazda RX4 Wag  0.451064    6  0.221751  0.204947  3.90  2.875   \n",
       "3        Hornet 4 Drive  0.468085    6  0.466201  0.204947  3.08  3.215   \n",
       "31           Volvo 142E  0.468085    4  0.124470  0.201413  4.11  2.780   \n",
       "5               Valiant  0.327660    6  0.383886  0.187279  2.76  3.460   \n",
       "20        Toyota Corona  0.472340    4  0.122225  0.159011  3.70  2.465   \n",
       "8              Merc 230  0.527660    4  0.173859  0.151943  3.92  3.150   \n",
       "2            Datsun 710  0.527660    4  0.092043  0.144876  3.85  2.320   \n",
       "26        Porsche 914-2  0.663830    4  0.122724  0.137809  4.43  2.140   \n",
       "25            Fiat X1-9  0.719149    4  0.019706  0.049470  4.08  1.935   \n",
       "17             Fiat 128  0.936170    4  0.018957  0.049470  4.08  2.200   \n",
       "19       Toyota Corolla  1.000000    4  0.000000  0.045936  4.22  1.835   \n",
       "7             Merc 240D  0.595745    4  0.188576  0.035336  3.69  3.190   \n",
       "18          Honda Civic  0.851064    4  0.011474  0.000000  4.93  1.615   \n",
       "\n",
       "     qsec  vs  am  gear  carb  \n",
       "30  14.60   0   1     5     8  \n",
       "28  14.50   0   1     5     4  \n",
       "6   15.84   0   0     3     4  \n",
       "23  15.41   0   0     3     4  \n",
       "16  17.42   0   0     3     4  \n",
       "15  17.82   0   0     3     4  \n",
       "14  17.98   0   0     3     4  \n",
       "13  18.00   0   0     3     3  \n",
       "11  17.40   0   0     3     3  \n",
       "12  17.60   0   0     3     3  \n",
       "24  17.05   0   0     3     2  \n",
       "4   17.02   0   0     3     2  \n",
       "29  15.50   0   1     5     6  \n",
       "21  16.87   0   0     3     2  \n",
       "22  17.30   0   0     3     2  \n",
       "10  18.90   1   0     4     4  \n",
       "9   18.30   1   0     4     4  \n",
       "27  16.90   1   1     5     2  \n",
       "0   16.46   0   1     4     4  \n",
       "1   17.02   0   1     4     4  \n",
       "3   19.44   1   0     3     1  \n",
       "31  18.60   1   1     4     2  \n",
       "5   20.22   1   0     3     1  \n",
       "20  20.01   1   0     3     1  \n",
       "8   22.90   1   0     4     2  \n",
       "2   18.61   1   1     4     1  \n",
       "26  16.70   0   1     5     2  \n",
       "25  18.90   1   1     4     1  \n",
       "17  19.47   1   1     4     1  \n",
       "19  19.90   1   1     4     1  \n",
       "7   20.00   1   0     4     2  \n",
       "18  18.52   1   1     4     2  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    cars_df.min_max_scale(col_name=\"mpg\", new_max=1, new_min=0)\n",
    "    .min_max_scale(col_name=\"disp_cc\", new_max=1, new_min=0)\n",
    "    .min_max_scale(col_name=\"hp\", new_max=1, new_min=0)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The shapes of the bar graphs remain the same, but the horizontal axes show the new scale."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### mpg (min-max normalized)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa29789e4d0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"mpg\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"mpg\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### displacement (min-max normalized)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa295770710>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"disp_cc\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"disp_cc\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### horsepower (min-max normalized)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa29561c550>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"hp\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"hp\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standardization (z-score)\n",
    "\n",
    "Next we'll convert to [standard scores](https://en.wikipedia.org/wiki/Standard_score).  This expresses each value in terms of its standard deviations from the mean, expressing where each model stands in relation to the others.\n",
    "\n",
    "We'll use pyjanitor's [transform_columns](../reference/functions.html#janitor.functions.transform_columns) to apply the standard score calculation, `(x - x.mean()) / x.std()`, to each value in each of the columns we're evaluating."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>model</th>\n",
       "      <th>mpg</th>\n",
       "      <th>cyl</th>\n",
       "      <th>disp_cc</th>\n",
       "      <th>hp</th>\n",
       "      <th>drat</th>\n",
       "      <th>wt</th>\n",
       "      <th>qsec</th>\n",
       "      <th>vs</th>\n",
       "      <th>am</th>\n",
       "      <th>gear</th>\n",
       "      <th>carb</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Maserati Bora</td>\n",
       "      <td>-0.844644</td>\n",
       "      <td>8</td>\n",
       "      <td>0.567039</td>\n",
       "      <td>2.746567</td>\n",
       "      <td>3.54</td>\n",
       "      <td>3.570</td>\n",
       "      <td>14.60</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Ford Pantera L</td>\n",
       "      <td>-0.711907</td>\n",
       "      <td>8</td>\n",
       "      <td>0.970465</td>\n",
       "      <td>1.711021</td>\n",
       "      <td>4.22</td>\n",
       "      <td>3.170</td>\n",
       "      <td>14.50</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Duster 360</td>\n",
       "      <td>-0.960789</td>\n",
       "      <td>8</td>\n",
       "      <td>1.043081</td>\n",
       "      <td>1.433903</td>\n",
       "      <td>3.21</td>\n",
       "      <td>3.570</td>\n",
       "      <td>15.84</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Camaro Z28</td>\n",
       "      <td>-1.126710</td>\n",
       "      <td>8</td>\n",
       "      <td>0.962396</td>\n",
       "      <td>1.433903</td>\n",
       "      <td>3.73</td>\n",
       "      <td>3.840</td>\n",
       "      <td>15.41</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Chrysler Imperial</td>\n",
       "      <td>-0.894420</td>\n",
       "      <td>8</td>\n",
       "      <td>1.688562</td>\n",
       "      <td>1.215126</td>\n",
       "      <td>3.23</td>\n",
       "      <td>5.345</td>\n",
       "      <td>17.42</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Lincoln Continental</td>\n",
       "      <td>-1.607883</td>\n",
       "      <td>8</td>\n",
       "      <td>1.849932</td>\n",
       "      <td>0.996348</td>\n",
       "      <td>3.00</td>\n",
       "      <td>5.424</td>\n",
       "      <td>17.82</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Cadillac Fleetwood</td>\n",
       "      <td>-1.607883</td>\n",
       "      <td>8</td>\n",
       "      <td>1.946754</td>\n",
       "      <td>0.850497</td>\n",
       "      <td>2.93</td>\n",
       "      <td>5.250</td>\n",
       "      <td>17.98</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Merc 450SLC</td>\n",
       "      <td>-0.811460</td>\n",
       "      <td>8</td>\n",
       "      <td>0.363713</td>\n",
       "      <td>0.485868</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.780</td>\n",
       "      <td>18.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Merc 450SE</td>\n",
       "      <td>-0.612354</td>\n",
       "      <td>8</td>\n",
       "      <td>0.363713</td>\n",
       "      <td>0.485868</td>\n",
       "      <td>3.07</td>\n",
       "      <td>4.070</td>\n",
       "      <td>17.40</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Merc 450SL</td>\n",
       "      <td>-0.463025</td>\n",
       "      <td>8</td>\n",
       "      <td>0.363713</td>\n",
       "      <td>0.485868</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.730</td>\n",
       "      <td>17.60</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Pontiac Firebird</td>\n",
       "      <td>-0.147774</td>\n",
       "      <td>8</td>\n",
       "      <td>1.365821</td>\n",
       "      <td>0.412942</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.845</td>\n",
       "      <td>17.05</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hornet Sportabout</td>\n",
       "      <td>-0.230735</td>\n",
       "      <td>8</td>\n",
       "      <td>1.043081</td>\n",
       "      <td>0.412942</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.440</td>\n",
       "      <td>17.02</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Ferrari Dino</td>\n",
       "      <td>-0.064813</td>\n",
       "      <td>6</td>\n",
       "      <td>-0.691647</td>\n",
       "      <td>0.412942</td>\n",
       "      <td>3.62</td>\n",
       "      <td>2.770</td>\n",
       "      <td>15.50</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Dodge Challenger</td>\n",
       "      <td>-0.761683</td>\n",
       "      <td>8</td>\n",
       "      <td>0.704204</td>\n",
       "      <td>0.048313</td>\n",
       "      <td>2.76</td>\n",
       "      <td>3.520</td>\n",
       "      <td>16.87</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>AMC Javelin</td>\n",
       "      <td>-0.811460</td>\n",
       "      <td>8</td>\n",
       "      <td>0.591245</td>\n",
       "      <td>0.048313</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.435</td>\n",
       "      <td>17.30</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Merc 280C</td>\n",
       "      <td>-0.380064</td>\n",
       "      <td>6</td>\n",
       "      <td>-0.509299</td>\n",
       "      <td>-0.345486</td>\n",
       "      <td>3.92</td>\n",
       "      <td>3.440</td>\n",
       "      <td>18.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Merc 280</td>\n",
       "      <td>-0.147774</td>\n",
       "      <td>6</td>\n",
       "      <td>-0.509299</td>\n",
       "      <td>-0.345486</td>\n",
       "      <td>3.92</td>\n",
       "      <td>3.440</td>\n",
       "      <td>18.30</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Lotus Europa</td>\n",
       "      <td>1.710547</td>\n",
       "      <td>4</td>\n",
       "      <td>-1.094266</td>\n",
       "      <td>-0.491337</td>\n",
       "      <td>3.77</td>\n",
       "      <td>1.513</td>\n",
       "      <td>16.90</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Mazda RX4</td>\n",
       "      <td>0.150885</td>\n",
       "      <td>6</td>\n",
       "      <td>-0.570620</td>\n",
       "      <td>-0.535093</td>\n",
       "      <td>3.90</td>\n",
       "      <td>2.620</td>\n",
       "      <td>16.46</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Mazda RX4 Wag</td>\n",
       "      <td>0.150885</td>\n",
       "      <td>6</td>\n",
       "      <td>-0.570620</td>\n",
       "      <td>-0.535093</td>\n",
       "      <td>3.90</td>\n",
       "      <td>2.875</td>\n",
       "      <td>17.02</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Hornet 4 Drive</td>\n",
       "      <td>0.217253</td>\n",
       "      <td>6</td>\n",
       "      <td>0.220094</td>\n",
       "      <td>-0.535093</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.215</td>\n",
       "      <td>19.44</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Volvo 142E</td>\n",
       "      <td>0.217253</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.885292</td>\n",
       "      <td>-0.549678</td>\n",
       "      <td>4.11</td>\n",
       "      <td>2.780</td>\n",
       "      <td>18.60</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Valiant</td>\n",
       "      <td>-0.330287</td>\n",
       "      <td>6</td>\n",
       "      <td>-0.046167</td>\n",
       "      <td>-0.608019</td>\n",
       "      <td>2.76</td>\n",
       "      <td>3.460</td>\n",
       "      <td>20.22</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Toyota Corona</td>\n",
       "      <td>0.233846</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.892553</td>\n",
       "      <td>-0.724700</td>\n",
       "      <td>3.70</td>\n",
       "      <td>2.465</td>\n",
       "      <td>20.01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Merc 230</td>\n",
       "      <td>0.449543</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.725535</td>\n",
       "      <td>-0.753870</td>\n",
       "      <td>3.92</td>\n",
       "      <td>3.150</td>\n",
       "      <td>22.90</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Datsun 710</td>\n",
       "      <td>0.449543</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.990182</td>\n",
       "      <td>-0.783040</td>\n",
       "      <td>3.85</td>\n",
       "      <td>2.320</td>\n",
       "      <td>18.61</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Porsche 914-2</td>\n",
       "      <td>0.980492</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.890939</td>\n",
       "      <td>-0.812211</td>\n",
       "      <td>4.43</td>\n",
       "      <td>2.140</td>\n",
       "      <td>16.70</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Fiat X1-9</td>\n",
       "      <td>1.196190</td>\n",
       "      <td>4</td>\n",
       "      <td>-1.224169</td>\n",
       "      <td>-1.176840</td>\n",
       "      <td>4.08</td>\n",
       "      <td>1.935</td>\n",
       "      <td>18.90</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Fiat 128</td>\n",
       "      <td>2.042389</td>\n",
       "      <td>4</td>\n",
       "      <td>-1.226589</td>\n",
       "      <td>-1.176840</td>\n",
       "      <td>4.08</td>\n",
       "      <td>2.200</td>\n",
       "      <td>19.47</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Toyota Corolla</td>\n",
       "      <td>2.291272</td>\n",
       "      <td>4</td>\n",
       "      <td>-1.287910</td>\n",
       "      <td>-1.191425</td>\n",
       "      <td>4.22</td>\n",
       "      <td>1.835</td>\n",
       "      <td>19.90</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Merc 240D</td>\n",
       "      <td>0.715018</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.677931</td>\n",
       "      <td>-1.235180</td>\n",
       "      <td>3.69</td>\n",
       "      <td>3.190</td>\n",
       "      <td>20.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Honda Civic</td>\n",
       "      <td>1.710547</td>\n",
       "      <td>4</td>\n",
       "      <td>-1.250795</td>\n",
       "      <td>-1.381032</td>\n",
       "      <td>4.93</td>\n",
       "      <td>1.615</td>\n",
       "      <td>18.52</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  model       mpg  cyl   disp_cc        hp  drat     wt  \\\n",
       "30        Maserati Bora -0.844644    8  0.567039  2.746567  3.54  3.570   \n",
       "28       Ford Pantera L -0.711907    8  0.970465  1.711021  4.22  3.170   \n",
       "6            Duster 360 -0.960789    8  1.043081  1.433903  3.21  3.570   \n",
       "23           Camaro Z28 -1.126710    8  0.962396  1.433903  3.73  3.840   \n",
       "16    Chrysler Imperial -0.894420    8  1.688562  1.215126  3.23  5.345   \n",
       "15  Lincoln Continental -1.607883    8  1.849932  0.996348  3.00  5.424   \n",
       "14   Cadillac Fleetwood -1.607883    8  1.946754  0.850497  2.93  5.250   \n",
       "13          Merc 450SLC -0.811460    8  0.363713  0.485868  3.07  3.780   \n",
       "11           Merc 450SE -0.612354    8  0.363713  0.485868  3.07  4.070   \n",
       "12           Merc 450SL -0.463025    8  0.363713  0.485868  3.07  3.730   \n",
       "24     Pontiac Firebird -0.147774    8  1.365821  0.412942  3.08  3.845   \n",
       "4     Hornet Sportabout -0.230735    8  1.043081  0.412942  3.15  3.440   \n",
       "29         Ferrari Dino -0.064813    6 -0.691647  0.412942  3.62  2.770   \n",
       "21     Dodge Challenger -0.761683    8  0.704204  0.048313  2.76  3.520   \n",
       "22          AMC Javelin -0.811460    8  0.591245  0.048313  3.15  3.435   \n",
       "10            Merc 280C -0.380064    6 -0.509299 -0.345486  3.92  3.440   \n",
       "9              Merc 280 -0.147774    6 -0.509299 -0.345486  3.92  3.440   \n",
       "27         Lotus Europa  1.710547    4 -1.094266 -0.491337  3.77  1.513   \n",
       "0             Mazda RX4  0.150885    6 -0.570620 -0.535093  3.90  2.620   \n",
       "1         Mazda RX4 Wag  0.150885    6 -0.570620 -0.535093  3.90  2.875   \n",
       "3        Hornet 4 Drive  0.217253    6  0.220094 -0.535093  3.08  3.215   \n",
       "31           Volvo 142E  0.217253    4 -0.885292 -0.549678  4.11  2.780   \n",
       "5               Valiant -0.330287    6 -0.046167 -0.608019  2.76  3.460   \n",
       "20        Toyota Corona  0.233846    4 -0.892553 -0.724700  3.70  2.465   \n",
       "8              Merc 230  0.449543    4 -0.725535 -0.753870  3.92  3.150   \n",
       "2            Datsun 710  0.449543    4 -0.990182 -0.783040  3.85  2.320   \n",
       "26        Porsche 914-2  0.980492    4 -0.890939 -0.812211  4.43  2.140   \n",
       "25            Fiat X1-9  1.196190    4 -1.224169 -1.176840  4.08  1.935   \n",
       "17             Fiat 128  2.042389    4 -1.226589 -1.176840  4.08  2.200   \n",
       "19       Toyota Corolla  2.291272    4 -1.287910 -1.191425  4.22  1.835   \n",
       "7             Merc 240D  0.715018    4 -0.677931 -1.235180  3.69  3.190   \n",
       "18          Honda Civic  1.710547    4 -1.250795 -1.381032  4.93  1.615   \n",
       "\n",
       "     qsec  vs  am  gear  carb  \n",
       "30  14.60   0   1     5     8  \n",
       "28  14.50   0   1     5     4  \n",
       "6   15.84   0   0     3     4  \n",
       "23  15.41   0   0     3     4  \n",
       "16  17.42   0   0     3     4  \n",
       "15  17.82   0   0     3     4  \n",
       "14  17.98   0   0     3     4  \n",
       "13  18.00   0   0     3     3  \n",
       "11  17.40   0   0     3     3  \n",
       "12  17.60   0   0     3     3  \n",
       "24  17.05   0   0     3     2  \n",
       "4   17.02   0   0     3     2  \n",
       "29  15.50   0   1     5     6  \n",
       "21  16.87   0   0     3     2  \n",
       "22  17.30   0   0     3     2  \n",
       "10  18.90   1   0     4     4  \n",
       "9   18.30   1   0     4     4  \n",
       "27  16.90   1   1     5     2  \n",
       "0   16.46   0   1     4     4  \n",
       "1   17.02   0   1     4     4  \n",
       "3   19.44   1   0     3     1  \n",
       "31  18.60   1   1     4     2  \n",
       "5   20.22   1   0     3     1  \n",
       "20  20.01   1   0     3     1  \n",
       "8   22.90   1   0     4     2  \n",
       "2   18.61   1   1     4     1  \n",
       "26  16.70   0   1     5     2  \n",
       "25  18.90   1   1     4     1  \n",
       "17  19.47   1   1     4     1  \n",
       "19  19.90   1   1     4     1  \n",
       "7   20.00   1   0     4     2  \n",
       "18  18.52   1   1     4     2  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cars_df.transform_columns(\n",
    "    [\"mpg\", \"disp_cc\", \"hp\"], lambda x: (x - x.mean()) / x.std(), elementwise=False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standardized mpg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa2954f5350>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"mpg\", ascending=False)\n",
    "sns.barplot(\n",
    "    y=\"model\",\n",
    "    x=\"mpg\",\n",
    "    data=cars_df,\n",
    "    color=\"b\",\n",
    "    orient=\"h\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standardized displacement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa295367ad0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"disp_cc\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"disp_cc\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standardized horsepower"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fa295236e90>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cars_df = cars_df.sort_values(\"hp\", ascending=False)\n",
    "sns.barplot(y=\"model\", x=\"hp\", data=cars_df, color=\"b\", orient=\"h\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
